133260960 has 192 divisors, whose sum is σ = 508177152. Its totient is φ = 28655616.

The previous prime is 133260937. The next prime is 133260961. The reversal of 133260960 is 69062331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (133260961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55954 + ... + 58286.

It is an arithmetic number, because the mean of its divisors is an integer number (2646756).

Almost surely, 2^133260960 is an apocalyptic number.

133260960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254088576).

133260960 is an abundant number, since it is smaller than the sum of its proper divisors (374916192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133260960 is a wasteful number, since it uses less digits than its factorization.

133260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 133260960 is about 11543.8711011515. The cubic root of 133260960 is about 510.7805042530.

The spelling of 133260960 in words is "one hundred thirty-three million, two hundred sixty thousand, nine hundred sixty".